Major Competitive Exams

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Q. What is the relationship between the units of work and energy?
  • A. They are the same
  • B. Work is a subset of energy
  • C. Energy is a subset of work
  • D. They are unrelated
Q. What is the relationship between the wavelength and frequency of a wave?
  • A. Wavelength is directly proportional to frequency
  • B. Wavelength is inversely proportional to frequency
  • C. Wavelength is equal to frequency
  • D. Wavelength and frequency are unrelated
Q. What is the relationship between the wavelength of light and the angle of diffraction in a single-slit experiment? (2023)
  • A. Directly proportional
  • B. Inversely proportional
  • C. No relationship
  • D. Exponential relationship
Q. What is the relationship between the wavelength of light and the angle of diffraction in a grating? (2023)
  • A. Directly proportional
  • B. Inversely proportional
  • C. No relationship
  • D. Exponential relationship
Q. What is the relationship between the wavelength of light and the angle of diffraction in a diffraction grating?
  • A. Longer wavelengths diffract less
  • B. Longer wavelengths diffract more
  • C. Wavelength has no effect
  • D. Only the slit width matters
Q. What is the relationship between the wavelength of light and the energy of the emitted electrons in the photoelectric effect?
  • A. Energy is directly proportional to wavelength
  • B. Energy is inversely proportional to wavelength
  • C. Energy is independent of wavelength
  • D. Energy is proportional to the square of wavelength
Q. What is the relationship between the width of the central maximum and the wavelength in a single-slit diffraction pattern?
  • A. Directly proportional
  • B. Inversely proportional
  • C. No relationship
  • D. Exponential relationship
Q. What is the relationship between the work function and the threshold frequency?
  • A. Φ = hν₀
  • B. Φ = ν₀/h
  • C. Φ = h/ν₀
  • D. Φ = ν₀²/h
Q. What is the relationship between torque (τ), moment of inertia (I), and angular acceleration (α)?
  • A. τ = Iα
  • B. τ = α/I
  • C. τ = I/α
  • D. τ = I + α
Q. What is the relationship between verbal ability and overall performance in the CAT exam as suggested in the passage?
  • A. Verbal ability is secondary to quantitative skills.
  • B. Verbal ability directly impacts overall performance.
  • C. Verbal ability is irrelevant to the exam's success.
  • D. Verbal ability is only important for certain sections.
Q. What is the relationship between voltage, current, and resistance according to Ohm's Law?
  • A. V = I * R
  • B. V = I / R
  • C. V = R / I
  • D. V = I + R
Q. What is the relationship between voltage, current, and resistance as described by Ohm's Law? (2021)
  • A. V = I + R
  • B. V = I * R
  • C. V = I / R
  • D. V = R / I
Q. What is the relationship between voltage, current, and resistance as stated by Ohm's Law? (2021)
  • A. V = I + R
  • B. V = I * R
  • C. V = I / R
  • D. V = R / I
Q. What is the relationship between voltage, current, and resistance in a circuit according to Ohm's Law?
  • A. V = I + R
  • B. V = I - R
  • C. V = I * R
  • D. V = I / R
Q. What is the relationship between voltage, current, and resistance in an electrical circuit?
  • A. Ohm's Law
  • B. Kirchhoff's Law
  • C. Faraday's Law
  • D. Ampere's Law
Q. What is the relationship between ΔG and equilibrium constant K?
  • A. ΔG = -RT ln K
  • B. ΔG = RT ln K
  • C. ΔG = KRT
  • D. ΔG = K/R
Q. What is the relationship between ΔG and the equilibrium constant (K)?
  • A. ΔG = -RT ln(K)
  • B. ΔG = RT ln(K)
  • C. ΔG = KRT
  • D. ΔG = K - RT
Q. What is the relationship between ΔG, ΔH, and ΔS at constant temperature?
  • A. ΔG = ΔH + TΔS
  • B. ΔG = ΔH - TΔS
  • C. ΔG = TΔS - ΔH
  • D. ΔG = ΔH/ΔS
Q. What is the relationship between ΔH and ΔG at equilibrium?
  • A. ΔG = 0
  • B. ΔH = 0
  • C. ΔG = ΔH
  • D. ΔG = ΔH + TΔS
Q. What is the relationship between ΔH and ΔU for a reaction at constant pressure?
  • A. ΔH = ΔU + PΔV
  • B. ΔH = ΔU - PΔV
  • C. ΔH = ΔU
  • D. ΔH = PΔV
Q. What is the remainder when 1000 is divided by 6?
  • A. 4
  • B. 2
  • C. 1
  • D. 0
Q. What is the remainder when 145 is divided by 12?
  • A. 1
  • B. 2
  • C. 3
  • D. 4
Q. What is the remainder when 250 is divided by 7?
  • A. 1
  • B. 2
  • C. 3
  • D. 4
Q. What is the remainder when 256 is divided by 7?
  • A. 3
  • B. 4
  • C. 5
  • D. 6
Q. What is the remainder when 987654 is divided by 9?
  • A. 0
  • B. 1
  • C. 2
  • D. 3
Q. What is the repeating unit in polyethylene?
  • A. -CH2-CH2-
  • B. -C6H5-
  • C. -C3H6-
  • D. -C2H4-
Q. What is the repeating unit of polystyrene? (2021)
  • A. -CH2-CH2-
  • B. -CH=CH2-
  • C. -C6H5-
  • D. -C3H6-
Q. What is the resistance of a circuit if a current of 5A flows through it when a voltage of 25V is applied? (2022)
  • A.
  • B. 10Ω
  • C. 15Ω
  • D. 20Ω
Q. What is the resistance of a wire of length 2 m and cross-sectional area 1 mm² if the resistivity of the material is 1.7 x 10^-8 Ωm?
  • A. 0.034 Ω
  • B. 0.017 Ω
  • C. 0.068 Ω
  • D. 0.085 Ω
Q. What is the resistivity of a material if a 5 m long wire with a cross-sectional area of 1 mm² has a resistance of 10 Ω?
  • A. 2 x 10^-6 Ω·m
  • B. 5 x 10^-6 Ω·m
  • C. 1 x 10^-5 Ω·m
  • D. 2 x 10^-5 Ω·m
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